4 citations · 8 across the 9 of their papers we have counts for
9 papers
Twisted second moment of primitive cubic L-functions
Ziwei Hong, Zhiyong Zheng
We investigate the mean value of the twisted second moment of primitive cubic -functions over in the non-Kummer setting. Specifically, we study the sum \begin{…
The second moment of Ramanujan sums
Hong Ziwei, Zheng Zhiyong
In this paper, we study , the second moment of Ramanujan sums. Assuming the Riemann Hypothesis(RH), we establish an asymptotic formula for with improved error te…
An Unbounded Fully Homomorphic Encryption Scheme Based on Ideal Lattices and Chinese Remainder Theorem
Zhiyong Zheng, Fengxia Liu, Kun Tian
We propose an unbounded fully homomorphic encryption scheme, i.e. a scheme that allows one to compute on encrypted data for any desired functions without needing to decrypt the dat…
On the High Dimensional RSA Algorithm -- A Public Key Cryptosystem Based on Lattice and Algebraic Number Theory
Zhiyong Zheng, Fengxia Liu
The most known of public key cryptosystem was introduced in 1978 by Rivest, Shamir and Adleman [19] and now called the RSA public key cryptosystem in their honor. Later, a few auth…
A Generalization of Cyclic Code and Applications to Public Key Cryptosystems
Zhiyong Zheng, Wenlin Huang, Jie Xu +1
In this paper, we define and discuss ϕ-cyclic code, which may be regarded as a general form of the ordinary cyclic code. As applications, we explain how to extend two public key en…
Cyclic Lattices, Ideal Lattices and Bounds for the Smoothing Parameter
Zhiyong Zheng, Fengxia Liu, Yunfan Lu +1
Cyclic lattices and ideal lattices were introduced by Micciancio in \cite{D2}, Lyubashevsky and Micciancio in \cite{L1} respectively, which play an efficient role in Ajtai's constr…